Multivariable Calculus Unit 1: Exploring (x,y,z) Space and R3 Basics πŸ“

Kick off your multivariable calculus journey with Lecture 1! Discover the structure of (x,y) and (x,y,z) spaces, points, the distance formula, and more in R3.

Multivariable Calculus Unit 1: Exploring (x,y,z) Space and R3 Basics πŸ“
Dr. Bevin Maultsby
27.5K views β€’ Jul 28, 2020
Multivariable Calculus Unit 1: Exploring (x,y,z) Space and R3 Basics πŸ“

About this video

Welcome to Lecture 1 of Multivariable Calculus! This video is about (x,y) and (x,y,z) space. We look at the layout of R3, points, the distance formula, circles, spheres, and circular cylinders.

In this video we explore the jump from single-variable calculus to multivariable calculus:
- RΒ² (2D space) vs RΒ³ (3D space)
- Equations of lines, planes, circles, and spheres
- Octants in RΒ³
- Distance formula and its applications

This course is designed for students taking Calculus III. If you are visiting my channel, please subscribe and check out the rest of my lectures on Multivariable Calculus:

Next lecture: https://youtu.be/v3Lg2lH4DEM
Playlist: https://www.youtube.com/playlist?list=PLBEl4BT8wUgOqJCBijQxClMIuumgtMinc
Subscribe for more series: @bevinmaultsby

#mathematics #math #multivariablecalculus #calculus #vectorcalculus #iitjammathematics #calculus3

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27.5K

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19:21

Published

Jul 28, 2020

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